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Finding the Fourth Proportional to 370.01, 510.62 and 204.24

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Solution

The fourth proportional to 370.01, 510.62 and 204.24 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.01 : 510.62 = 204.24 : x
  2. Step 2: Convert to fraction form
    370.01/510.62 = 204.24/x
  3. Step 3: Cross multiply
    370.01x = 510.62 × 204.24
  4. Step 4: Simplify right side
    370.01x = 104,289.03
  5. Step 5: Solve for x
    x = 104,289.03/370.01
  6. Step 6: Final answer
    x = 281.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.